Numerical Methods for Solving the System of Volterra-Fredholm Integro-Differential Equations.

Abstract

differential equations of the second kind with the initial-Fredholm integro-In this paper, we defined the system of Volterra decomposition method. An algorithm is applied to conditions. The solution for this equation is introduced by using the modified get that solution. Moreover, we generated some examples and discussed to illustrate the employment of the method.

SEE Transform Technique for Solving System of Linear Volterra Integro-Differential Equations of the Second Kind

“…Aggarwal and Kumar (2021) used Laplace-Carson transform for solving (S-LVIDE-SK). Jalal et al (2019) solved the (S-LVIDE-SK) by modified decomposition method. Rabiei et al (2019) they considered a third order General Linear Method for finding the numerical solution of Volterra integrodifferential equation .…”

Sinc collocation method for solving linear systems of Fredholm Volterra integro–differential equations of high order with variable coefficients

“…In [9] Attary introduced an approximation to a system of FVIDEs with variable coefficients through the Shannon technique. There are also many methods to approximate the solution of the proposed system, such as Bezier control method [10], Chebyshev polynomial method [11], Modified decomposition method [14], Shifted Chebyshev polynomial method [12], Lagrange method [15]. In [1], Holmaker proved the stability in solving systems of IDEs that describe the construction of liver zones.…”